Classical theory of particles interacting with electromagnetic and mesonic fields. ii
197222 pages
Published in:
- Phys.Rev.D 6 (1972) 1501-1522
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Abstract: (APS)
In a recent paper by Havas, the general form of the laws of motion was found for particles which are multipole sources of coupled electromagnetic and mesonic fields. After briefly outlining the derivation of these laws for the case of simple poles of the fields, we develop a systematic approximation method for the solution of the nonlinear field equations consistent with the equations of motion to any given order in the constant e coupling the electromagnetic to the mesonic field; this method is analogous to the "fast approximation method" for the corresponding problem of the general theory of relativity. The field equations are solved in first order by the method of Riesz potentials, taking all fields to be retarded, and the results are given in integral form. The integrals are then evaluated under the assumption of slow motion and small oscillations. The corresponding results for time-symmetric fields and for action-at-a-distance theory are indicated in an appendix.- model: field theory
- electromagnetic: field
- meson: field
- approximation
- field equations
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